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Finding the Fourth Proportional to 205,937.42, 284,109.18 and 125,300.30

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Solution

The fourth proportional to 205,937.42, 284,109.18 and 125,300.30 is: 172,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,937.42 : 284,109.18 = 125,300.30 : x
  2. Step 2: Convert to fraction form
    205,937.42/284,109.18 = 125,300.30/x
  3. Step 3: Cross multiply
    205,937.42x = 284,109.18 × 125,300.30
  4. Step 4: Simplify right side
    205,937.42x = 35,598,964,066.21
  5. Step 5: Solve for x
    x = 35,598,964,066.21/205,937.42
  6. Step 6: Final answer
    x = 172,863.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.